Distribución $\chi^2$ de Pearson
Abscisas $\chi_{n,\alpha}^2$ que deixan á súa dereita un área $\alpha$
nunha $\chi^2$ con $n$ graos de liberdade
$\displaystyle \int_{\chi_{n,\alpha}^2}^\infty c_n\, x^{n/2-1}e^{-x/2}\,dx=\alpha$
0.001 | 0.005 | 0.010 | 0.025 | 0.030 | 0.040 | 0.050 | 0.100 | 0.150 | 0.200 | 0.250 | 0.300 | 0.350 | 0.400 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | 10.827 | 7.8794 | 6.6349 | 5.0239 | 4.7093 | 4.2179 | 3.8415 | 2.7055 | 2.0723 | 1.6424 | 1.3233 | 1.0742 | 0.8735 | 0.7083 |
2 | 13.815 | 10.596 | 9.2103 | 7.3778 | 7.0131 | 6.4378 | 5.9915 | 4.6052 | 3.7942 | 3.2189 | 2.7726 | 2.4079 | 2.0996 | 1.8326 |
3 | 16.266 | 12.838 | 11.344 | 9.3484 | 8.9473 | 8.3112 | 7.8147 | 6.2514 | 5.3170 | 4.6416 | 4.1083 | 3.6649 | 3.2831 | 2.9462 |
4 | 18.466 | 14.860 | 13.276 | 11.143 | 10.711 | 10.025 | 9.4877 | 7.7794 | 6.7449 | 5.9886 | 5.3853 | 4.8784 | 4.4377 | 4.0446 |
5 | 20.515 | 16.749 | 15.086 | 12.832 | 12.374 | 11.644 | 11.070 | 9.2364 | 8.1152 | 7.2893 | 6.6257 | 6.0644 | 5.5731 | 5.1319 |
6 | 22.457 | 18.547 | 16.811 | 14.449 | 13.967 | 13.197 | 12.591 | 10.644 | 9.4461 | 8.5581 | 7.8408 | 7.2311 | 6.6948 | 6.2108 |
7 | 24.321 | 20.277 | 18.475 | 16.012 | 15.509 | 14.703 | 14.067 | 12.017 | 10.747 | 9.8032 | 9.0371 | 8.3834 | 7.8061 | 7.2832 |
8 | 26.124 | 21.955 | 20.090 | 17.534 | 17.010 | 16.170 | 15.507 | 13.361 | 12.027 | 11.030 | 10.218 | 9.5245 | 8.9094 | 8.3505 |
9 | 27.877 | 23.589 | 21.666 | 19.022 | 18.479 | 17.608 | 16.919 | 14.683 | 13.288 | 12.242 | 11.388 | 10.656 | 10.006 | 9.4136 |
10 | 29.588 | 25.188 | 23.209 | 20.483 | 19.921 | 19.020 | 18.307 | 15.987 | 14.533 | 13.442 | 12.548 | 11.780 | 11.097 | 10.473 |
11 | 31.264 | 26.756 | 24.725 | 21.920 | 21.341 | 20.412 | 19.675 | 17.275 | 15.767 | 14.631 | 13.700 | 12.898 | 12.183 | 11.529 |
12 | 32.909 | 28.299 | 26.217 | 23.336 | 22.741 | 21.785 | 21.026 | 18.549 | 16.989 | 15.812 | 14.845 | 14.011 | 13.266 | 12.583 |
13 | 34.528 | 29.819 | 27.688 | 24.735 | 24.124 | 23.142 | 22.362 | 19.811 | 18.202 | 16.984 | 15.983 | 15.118 | 14.345 | 13.635 |
14 | 36.123 | 31.319 | 29.141 | 26.118 | 25.493 | 24.485 | 23.684 | 21.064 | 19.406 | 18.150 | 17.116 | 16.222 | 15.420 | 14.685 |
15 | 37.697 | 32.801 | 30.577 | 27.488 | 26.847 | 25.816 | 24.995 | 22.307 | 20.603 | 19.310 | 18.245 | 17.321 | 16.494 | 15.733 |
16 | 39.252 | 34.267 | 31.999 | 28.845 | 28.190 | 27.135 | 26.296 | 23.541 | 21.793 | 20.465 | 19.368 | 18.417 | 17.564 | 16.779 |
17 | 40.790 | 35.718 | 33.408 | 30.191 | 29.522 | 28.445 | 27.587 | 24.769 | 22.977 | 21.614 | 20.488 | 19.511 | 18.633 | 17.824 |
18 | 42.312 | 37.156 | 34.805 | 31.526 | 30.844 | 29.745 | 28.869 | 25.989 | 24.155 | 22.759 | 21.604 | 20.601 | 19.699 | 18.867 |
19 | 43.820 | 38.582 | 36.190 | 32.852 | 32.157 | 31.036 | 30.143 | 27.203 | 25.328 | 23.900 | 22.717 | 21.689 | 20.763 | 19.910 |
20 | 45.314 | 39.996 | 37.566 | 34.169 | 33.462 | 32.320 | 31.410 | 28.412 | 26.497 | 25.037 | 23.827 | 22.774 | 21.826 | 20.951 |
21 | 46.797 | 41.401 | 38.932 | 35.478 | 34.759 | 33.597 | 32.670 | 29.615 | 27.662 | 26.171 | 24.934 | 23.857 | 22.887 | 21.991 |
22 | 48.267 | 42.795 | 40.289 | 36.780 | 36.049 | 34.867 | 33.924 | 30.813 | 28.822 | 27.301 | 26.039 | 24.939 | 23.947 | 23.030 |
23 | 49.728 | 44.181 | 41.638 | 38.075 | 37.332 | 36.131 | 35.172 | 32.006 | 29.979 | 28.428 | 27.141 | 26.018 | 25.005 | 24.068 |
24 | 51.178 | 45.558 | 42.979 | 39.364 | 38.609 | 37.389 | 36.415 | 33.196 | 31.132 | 29.553 | 28.241 | 27.096 | 26.062 | 25.106 |
25 | 52.619 | 46.927 | 44.314 | 40.646 | 39.880 | 38.641 | 37.652 | 34.381 | 32.282 | 30.675 | 29.338 | 28.171 | 27.118 | 26.143 |
26 | 54.052 | 48.289 | 45.641 | 41.923 | 41.146 | 39.889 | 38.885 | 35.563 | 33.429 | 31.794 | 30.434 | 29.246 | 28.173 | 27.178 |
27 | 55.476 | 49.644 | 46.962 | 43.194 | 42.406 | 41.131 | 40.113 | 36.741 | 34.573 | 32.911 | 31.528 | 30.319 | 29.226 | 28.214 |
28 | 56.892 | 50.993 | 48.278 | 44.460 | 43.662 | 42.369 | 41.337 | 37.915 | 35.715 | 34.026 | 32.620 | 31.390 | 30.279 | 29.248 |
29 | 58.301 | 52.335 | 49.587 | 45.722 | 44.913 | 43.603 | 42.557 | 39.087 | 36.853 | 35.139 | 33.710 | 32.461 | 31.330 | 30.282 |
30 | 59.703 | 53.672 | 50.892 | 46.979 | 46.159 | 44.833 | 43.773 | 40.256 | 37.990 | 36.250 | 34.799 | 33.530 | 32.381 | 31.315 |
31 | 61.098 | 55.002 | 52.191 | 48.231 | 47.402 | 46.059 | 44.985 | 41.421 | 39.124 | 37.359 | 35.887 | 34.598 | 33.431 | 32.348 |
32 | 62.487 | 56.328 | 53.485 | 49.480 | 48.641 | 47.281 | 46.194 | 42.584 | 40.256 | 38.466 | 36.973 | 35.664 | 34.480 | 33.380 |
33 | 63.870 | 57.648 | 54.775 | 50.725 | 49.875 | 48.500 | 47.399 | 43.745 | 41.386 | 39.571 | 38.057 | 36.730 | 35.528 | 34.412 |
34 | 65.247 | 58.963 | 56.060 | 51.966 | 51.107 | 49.715 | 48.602 | 44.903 | 42.514 | 40.675 | 39.140 | 37.795 | 36.576 | 35.443 |
35 | 66.618 | 60.274 | 57.342 | 53.203 | 52.335 | 50.928 | 49.801 | 46.058 | 43.639 | 41.778 | 40.222 | 38.859 | 37.623 | 36.474 |
40 | 73.402 | 66.766 | 63.690 | 59.341 | 58.427 | 56.945 | 55.758 | 51.805 | 49.243 | 47.268 | 45.616 | 44.164 | 42.847 | 41.622 |
60 | 99.607 | 91.951 | 88.379 | 83.297 | 82.225 | 80.482 | 79.081 | 74.397 | 71.341 | 68.972 | 66.981 | 65.226 | 63.627 | 62.134 |
80 | 124.83 | 116.32 | 112.32 | 106.62 | 105.42 | 103.45 | 101.87 | 96.578 | 93.105 | 90.405 | 88.130 | 86.119 | 84.284 | 82.566 |
90 | 137.20 | 128.29 | 124.11 | 118.13 | 116.86 | 114.80 | 113.14 | 107.56 | 103.90 | 101.05 | 98.649 | 96.523 | 94.580 | 92.761 |
100 | 149.44 | 140.16 | 135.80 | 129.56 | 128.23 | 126.07 | 124.34 | 118.49 | 114.65 | 111.66 | 109.14 | 106.90 | 104.86 | 102.94 |
120 | 173.61 | 163.64 | 158.95 | 152.21 | 150.78 | 148.44 | 146.56 | 140.23 | 136.06 | 132.80 | 130.05 | 127.61 | 125.38 | 123.28 |
140 | 197.45 | 186.84 | 181.84 | 174.64 | 173.11 | 170.62 | 168.61 | 161.82 | 157.35 | 153.85 | 150.89 | 148.26 | 145.86 | 143.60 |
0.001 | 0.005 | 0.010 | 0.025 | 0.030 | 0.040 | 0.050 | 0.100 | 0.150 | 0.200 | 0.250 | 0.300 | 0.350 | 0.400 |